A convex polygon has all its interior angles:

A convex polygon has all its interior angles:
  1. Equal to $90^{\circ}$
  2. Less than $180^{\circ}$
  3. Greater than $180^{\circ}$
  4. Equal to $360^{\circ}$

Solution

In a convex polygon every interior angle is strictly less than $180^{\circ}$. If any angle exceeds $180^{\circ}$ (a reflex angle), the polygon is concave.

Asked in: IMO

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